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Near-optimal solution to an employee assignment problem with seniority

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Abstract

I consider the problem of weekly assignment of shifts to operators. The shifts are to be assigned by seniority (or by any other employee hierarchy), but every employee is guaranteed to receive at least one shift. I propose a practical solution method to this problem that guarantees a feasible solution. As an application, the solution method is applied to the data provided in the literature on weekly shift assignment of the operators of the New Brunswick Telephone company. The solution method is also applied to 100 randomly generated problems. The results show that the solution method produces close-to-optimal solutions. Copyright Springer Science+Business Media, LLC 2010

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  • Mehran Hojati, 2010. "Near-optimal solution to an employee assignment problem with seniority," Annals of Operations Research, Springer, vol. 181(1), pages 539-557, December.
    • Handle: RePEc:spr:annopr:v:181:y:2010:i:1:p:539-557:10.1007/s10479-010-0785-z
    DOI: 10.1007/s10479-010-0785-z
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    1. A.T. Ernst & H. Jiang & M. Krishnamoorthy & B. Owens & D. Sier, 2004. "An Annotated Bibliography of Personnel Scheduling and Rostering," Annals of Operations Research, Springer, vol. 127(1), pages 21-144, March.
    2. E. Rod Butchers & Paul R. Day & Andrew P. Goldie & Stephen Miller & Jeff A. Meyer & David M. Ryan & Amanda C. Scott & Chris A. Wallace, 2001. "Optimized Crew Scheduling at Air New Zealand," Interfaces, INFORMS, vol. 31(1), pages 30-56, February.
    3. Michel Gamache & François Soumis & Daniel Villeneuve & Jacques Desrosiers & Éric Gélinas, 1998. "The Preferential Bidding System at Air Canada," Transportation Science, INFORMS, vol. 32(3), pages 246-255, August.
    4. Gary M. Thompson, 1997. "Assigning Telephone Operators to Shifts at New Brunswick Telephone Company," Interfaces, INFORMS, vol. 27(4), pages 1-11, August.
    5. Gaétan Caron & Pierri Hansen & Brigitte Jaumard, 1999. "The Assignment Problem with Seniority and Job Priority Constraints," Operations Research, INFORMS, vol. 47(3), pages 449-453, June.
    6. Heykel Achour & Michel Gamache & François Soumis & Guy Desaulniers, 2007. "An Exact Solution Approach for the Preferential Bidding System Problem in the Airline Industry," Transportation Science, INFORMS, vol. 41(3), pages 354-365, August.
    7. Niklas Kohl & Stefan Karisch, 2004. "Airline Crew Rostering: Problem Types, Modeling, and Optimization," Annals of Operations Research, Springer, vol. 127(1), pages 223-257, March.
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    Cited by:

    1. David Rea & Craig Froehle & Suzanne Masterson & Brian Stettler & Gregory Fermann & Arthur Pancioli, 2021. "Unequal but Fair: Incorporating Distributive Justice in Operational Allocation Models," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2304-2320, July.
    2. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    3. De Bruecker, Philippe & Van den Bergh, Jorne & Beliën, Jeroen & Demeulemeester, Erik, 2015. "Workforce planning incorporating skills: State of the art," European Journal of Operational Research, Elsevier, vol. 243(1), pages 1-16.
    4. Jaime Miranda & Pablo A. Rey & Antoine Sauré & Richard Weber, 2018. "Metro Uses a Simulation-Optimization Approach to Improve Fare-Collection Shift Scheduling," Interfaces, INFORMS, vol. 48(6), pages 529-542, November.
    5. Kozanidis, George, 2017. "Optimal assignment of aircrew trainees to simulator and classroom training sessions subject to seniority and preference restrictions," Journal of Air Transport Management, Elsevier, vol. 59(C), pages 143-154.

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